Question

8. Without actual multiplication, evaluate the following:



25^2-24^2​

Answer 1

Answer:

Solution

verified

101×99=(100+1)(100−1)  

We know suitable identity is (x+y)(x−y)=x  

2

−y  

2

 

Therefore, the value of (100+1)(100−1) is

=(100)  

2

−(1)  

2

 

=10000−1

=9999

Step-by-step explanation:

Answer 2

Answer:

49

Step-by-step explanation:

Using identity

a^2 - b^2 = ( a + b ) ( a - b )

a = 25 & b = 24

25^2 - 24^2 =( 25 + 24 )(25 - 24 )

25^2-24^2 = 49 × 1

25^2-24^2 = 49